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NONLINEAR MAXIMUM PRINCIPLES FOR DISSIPATIVE LINEAR NONLOCAL OPERATORS AND APPLICATIONS
NONLINEAR MAXIMUM PRINCIPLES DISSIPATIVE LINEAR NONLOCAL OPERATORS APPLICATIONS
2014/4/3
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
Nonlinear equations for fractional Laplacians I Regularity maximum principles Hamiltonian estimates
2010/12/31
This is the first of two articles dealing with the equation (−)sv = f(v) in Rn, with s ∈ (0, 1), where (−)s stands for the fractional Laplacian —the infinitesimal generator of a L´...
Active scalars appear in many problems of fluid dynamics. The most common examples of active scalar equations are 2D Euler, Burgers, and 2D surface quasi-geostrophic equations. Many questions about re...